President Obama’s claim that the GOP is mounting a war on women has proven to be a failure. A month into his assault on the Republicans and Mitt Romney, the new CBS-New York Times poll shows that the GOP presidential candidate now leads among women–and men.

Since April, women have gone from strongly backing Obama to endorsing Romney. In April, Obama held a 49 percent to 43 percent lead among women. That has now flipped to 46 percent backing Romney with 44 percent for Obama, an 8-point switch.

Ironically, Romney’s support among men has dropped, but he still edges Obama 45 percent to 42 percent.

And here’s a surprise: Despite the media hyping the so-called war on women, no major outlet today noticed Romney’s new lead with women voters.